The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1
 0  1  1  a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3  a 3a^2+2  0 2a^2+3 a^2+3a+3  a  0  1 3a^2+2  2
 0  0 2a^2+2  0  2  2 2a+2  2 2a^2 2a+2 2a^2+2 2a^2 2a^2  0 2a^2 2a^2+2a 2a^2+2  0  2
 0  0  0  2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a^2+2 2a^2+2a 2a 2a^2  0 2a+2 2a^2 2a^2+2a  2

generates a code of length 19 over GR(64,4) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+406x^112+224x^113+1344x^119+3136x^120+2016x^121+10752x^126+18816x^127+17227x^128+9632x^129+75264x^134+65856x^135+39256x^136+16800x^137+1134x^144+280x^152

The gray image is a code over GF(8) with n=152, k=6 and d=112.
This code was found by Heurico 1.16 in 3.35 seconds.